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cs.LG2025
Lipschitz Bounds for Persistent Laplacian Eigenvalues under One-Simplex Insertions
Le Vu Anh, Mehmet Dik, Nguyen Viet Anh
Persistent Laplacians are matrix operators that track how the shape and structure of data transform across scales and are popularly adopted in biology, physics, and machine learnin…
cs.LG2025
MicroRicci: A Greedy and Local Ricci Flow Solver for Self-Tuning Mesh Smoothing
Le Vu Anh, Nguyen Viet Anh, Mehmet Dik +1
Real-time mesh smoothing at scale remains a formidable challenge: classical Ricci-flow solvers demand costly global updates, while greedy heuristics suffer from slow convergence or…
cs.LG2025
RePCS: Diagnosing Data Memorization in LLM-Powered Retrieval-Augmented Generation
Le Vu Anh, Nguyen Viet Anh, Mehmet Dik +1
Retrieval-augmented generation (RAG) has become a common strategy for updating large language model (LLM) responses with current, external information. However, models may still re…